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Finding the Fourth Proportional to 1,274.04, 1,909.62 and 579.24

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Solution

The fourth proportional to 1,274.04, 1,909.62 and 579.24 is: 868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.04 : 1,909.62 = 579.24 : x
  2. Step 2: Convert to fraction form
    1,274.04/1,909.62 = 579.24/x
  3. Step 3: Cross multiply
    1,274.04x = 1,909.62 × 579.24
  4. Step 4: Simplify right side
    1,274.04x = 1,106,128.29
  5. Step 5: Solve for x
    x = 1,106,128.29/1,274.04
  6. Step 6: Final answer
    x = 868.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.